Mathematics 9709 · AS & A Level · Numerical solution of equations

Numerical solution of equations — practice question

The variables $x$ and $y$ are linked by $y = ab^{x}$, with $a$ and $b$ constant. A graph of $\ln y$ against $x$ is a straight line that goes through $(0.75, 1.70)$ and $(1.53, 2.18)$, as the diagram shows.
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Determine the values of $a$ and $b$, with each answer correct to $2$ decimal places.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Write down or show $\ln y = \ln a + x\ln b$

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